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Finding the Fourth Proportional to 6,389.64, 8,815.80 and 4,032.54

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Solution

The fourth proportional to 6,389.64, 8,815.80 and 4,032.54 is: 5,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.64 : 8,815.80 = 4,032.54 : x
  2. Step 2: Convert to fraction form
    6,389.64/8,815.80 = 4,032.54/x
  3. Step 3: Cross multiply
    6,389.64x = 8,815.80 × 4,032.54
  4. Step 4: Simplify right side
    6,389.64x = 35,550,066.13
  5. Step 5: Solve for x
    x = 35,550,066.13/6,389.64
  6. Step 6: Final answer
    x = 5,563.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.